Analysis of Single Server Queueing System with Encouraged Arrival rate of Customers

Abstract

In this study, we explore a queuing system with a single server that facilitates the arrival of Encouraged consumers while limiting server control. For first-time users, the server in this configuration provides three distinct service types (one by one service, bulk service with an accessible collection, and non-accessible collection). To calculate the predicted number of customers waiting in queue, the likelihood of a steady state, and a system of difference differential equation, the Laplace transform is used. The tabular format is used to display the numerical findings.